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https://hdl.handle.net/2440/87607
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Type: | Journal article |
Title: | New results on stability and stabilisation of systems with interval time-varying delay |
Author: | Zhang, J. Xia, Y. Shi, P. Mahmoud, M. |
Citation: | IET Control Theory and Applications, 2011; 5(3):429-436 |
Publisher: | Institution of Engineering and Technology |
Issue Date: | 2011 |
ISSN: | 1751-8644 1751-8652 |
Statement of Responsibility: | J. Zhang, Y. Xia, P. Shi, M.S. Mahmoud |
Abstract: | This study is concerned with the stability and stabilisation for systems with interval time-varying delay. First, by appropriately choosing Lyapunov functional and using Finsler's lemma, a new delay-dependent stability criteria involving the minimum and maximum delay bounds is obtained. Second, new results for delay-dependent stabilisation of systems with interval time-varying delay are provided on the basis of a linear matrix inequality (LMI) framework. Both state- and observer-based output feedback controllers are designed. Differing existing design approach of observer-based controller, a single-step approach is proposed to overcome the drawback of the two-step LMI approach often encountered in the literature, and the conditions are also delay dependent. Numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method. |
Rights: | © The Institution of Engineering and Technology 2011 |
DOI: | 10.1049/iet-cta.2009.0560 |
Published version: | http://dx.doi.org/10.1049/iet-cta.2009.0560 |
Appears in Collections: | Aurora harvest 2 Electrical and Electronic Engineering publications |
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